Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the largest possible volume.
Correct answer:
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You need to know the following knowledge to solve this word math problem:
- arithmetic
- cube root
- third power
- solid geometry
- cuboid
- sphere
- prism
- planimetrics
- square
- basic functions
- derivation
Units of physical quantities:
Grade of the word problem:
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